a) For the composite beam section in Figure Q6a, calculate the second moment of areaabout its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm,b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimalplaces.b2 →→dzLoadb1Supportb3 →Figure Q6ab) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross-section and a concentrated point load of 250 kN acting at the mid-point of the beam.If the diameter of the beam cross-section is 165 mm, calculate the maximum tensilestress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experiencedby the beam. Use lxx = [¹/4] for the second moment of area of a round section beamabout its x-x centroid axis. Assume that the weight of the beam is zero and that thebeam section is solid and uniform along its entire length. Give your answer in N/mm²to 2 decimal places.d1

Note: As per policy, we can solve the first question from the multiple questions. Please resubmit…

For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places.

For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

a) For the composite beam section in Figure Q6a, calculate the second moment of area
about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm,
b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal
places.
b2 →→
dz
Load
b1
Support
b3 →
Figure Q6a
b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross-
section and a concentrated point load of 250 kN acting at the mid-point of the beam.
If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile
stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced
by the beam. Use lxx = [¹/4] for the second moment of area of a round section beam
about its x-x centroid axis. Assume that the weight of the beam is zero and that the
beam section is solid and uniform along its entire length. Give your answer in N/mm²
to 2 decimal places.
d1

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